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1. Computation of Zolotarev rational functions
   2024/08/26 by Lloyd N. Trefethen, Heather D. Wilber, Trefethen, Lloyd N. +1 · 5 citations
   Computer Science · Mathematics · #30E10 #41A20 #65D15 #Digital Filter Design and Implementation #FOS: Mathematics #Mathematical functions and polynomials #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
2. On the Shapes of Rational Lemniscates
   2024/07/19 by Christopher J. Bishop, Bishop, Christopher J., Alexandre Eremenko +3 · 3 citations
   Arts and Humanities · #30C10 #30C62 #30E10 #41A20 #Classical Philosophy and Thought #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics
3. Herglotz's representation and Caratheodory's approximation
   2023/11/27 by Tirthankar Bhattacharyya, Mainak Bhowmik, Bhattacharyya, Tirthankar +3 · 1 citation
   Mathematics · #30E10 #32A25 #32A70 #47A56 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical functions and polynomials
4. Optimal approximation using complex-valued neural networks
   2023/03/29 by Paul Geuchen, Felix Voigtlaender, Geuchen, Paul +1 · 1 citation
   Computer Science · Materials Science · #30E10 #31A30 #41A30 #41A63 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Machine Learning in Materials Science #Neural Networks and Applications
5. Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations
   2023/02/02 by Benjamin Boutin, Boutin, Benjamin, Pierre Le Barbenchon +3 · 1 citation
   Engineering · Mathematics · #30E10 #65M06 #65M12 #Computational Fluid Dynamics and Aerodynamics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
6. Randomized sketching of nonlinear eigenvalue problems
   2022/11/22 by Stefan Güttel, Güttel, Stefan, Daniel Kreßner +3 · 2 citations
   Computer Science · Physics and Astronomy · #30E10 #41A20 #65F50 #65H17 (Primary) #68W20 (Secondary) #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
7. An extremal problem for the Bergman kernel of orthogonal polynomials
   2022/07/11 by S. Charpentier, N. Levenberg, Charpentier, S. +3 · 2 citations
   Mathematics · #30C40 #30E10 #41A10 #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials #Meromorphic and Entire Functions
8. AAA-least squares rational approximation and solution of Laplace problems
   2021/07/04 by Stefano Costa, Costa, Stefano, Lloyd N. Trefethen +1 · 6 citations
   Engineering · Physics and Astronomy · #30E10 #41A20 #44A15 #65N35 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
9. Universal Radial Approximation in Spaces of Analytic Functions
   2021/06/07 by Konstantinos Maronikolakis, Maronikolakis, Konstantinos · 2 citations
   Mathematics · #30E10 #30H10 #30K15 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions
10. On the Whitney near extension problem, BMO, alignment of data, best approximation in algebraic geometry, manifold learning and their beautiful connections: A modern treatment
    2021/03/17 by Damelin, Steven B. · 1 citation
    #14Q15 #2B37 #30E10 #30H35 #42B35 #42B37 #49J10 #49J21 #49J30 #49J35 #53A45 #58Z05 #68P01 #Classical Analysis and ODEs (math.CA) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
11. Approximation of wave packets on the real line
    2021/01/07 by Arieh Iserles, Iserles, Arieh, Karen Luong +3 · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #30E10 #41A20 #41A60 #42A16 #42C05 #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Quantum Mechanics and Non-Hermitian Physics
12. On the minimum value of the condition number of polynomials
    2020/12/09 by Beltrán, Carlos, Lizarte, Fátima · 2 citations
    #30C15 #30E10 #31A15 #Complex Variables (math.CV) #FOS: Mathematics
13. Gevrey estimates for asymptotic expansions of tori in weakly dissipative systems
    2020/10/12 by Adrián P. Bustamante, Rafael de la Llave, Bustamante, Adrian P. +1 · 1 citation
    Mathematics · Physics and Astronomy · #30E10 #34K26 #35C20 #37J40 #70K43 #70K70 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems
14. A sharp Bombieri inequality, logarithmic energy and well conditioned\n polynomials
    2019/12/11 by Ujué Etayo, Etayo, Ujué · 1 citation
    Mathematics · #11C08 #11J99 #30C15 #30E10 #31C12 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Point processes and geometric inequalities
15. Random Bernstein-Markov factors
    2018/10/23 by Pritsker, Igor, Ramachandran, Koushik · 1 citation
    #30E10 #41A17 #60F05 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Probability (math.PR)
16. Uniform and L^q-Ensemble Reachability of Parameter-dependent Linear Systems
    2018/10/22 by Gunther Dirr, Dirr, Gunther, Michael Schönlein +1 · 2 citations
    Computer Science · Engineering · Mathematics · #30E10 #47A16 #93B05 #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Optimization and Control (math.OC) #Spectral Theory in Mathematical Physics #Stability and Control of Uncertain Systems
17. Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere
    2018/09/13 by Bobenko, Alexander I., Bücking, Ulrike · 1 citation
    #30E10 #30F30 #65M60 #Combinatorics (math.CO) #Complex Variables (math.CV) #FOS: Mathematics #Numerical Analysis (math.NA)
18. Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation
    2018/05/06 by Lagomasino, G. López, Peralta, S. Medina, Szmigielski, J. · 1 citation
    #30E10 #41A20 #42C05 #Complex Variables (math.CV) #FOS: Mathematics
19. On the Totik-Widom property for a Quasidisk
    2018/02/20 by В. В. Андриевскии, Fëdor Nazarov, Andrievskii, V. +1 · 1 citation
    Mathematics · #30A10 #30C10 #30C62 #30E10 #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials #Meromorphic and Entire Functions
20. On Chebyshev polynomials in the complex plane
    2017/01/22 by Andrievskii, Vladimir · 1 citation
    #30A10 #30C10 #30C62 #30E10 #Complex Variables (math.CV) #FOS: Mathematics
21. Near-optimal perfectly matched layers for indefinite Helmholtz problems
    2015/07/22 by Vladimir Druskin, Druskin, Vladimir, Stefan Güttel +3 · 1 citation
    Engineering · Physics and Astronomy · #30E10 #35J05 #65D25 #65N06 #65N55 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Numerical methods in engineering
22. On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials
    2014/03/15 by Alexander Ivanovich Aptekarev, G. López Lagomasino, Aptekarev, A. I. +3 · 1 citation
    Mathematics · #30E10 #41A20 #42C05 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical functions and polynomials #Spectral Theory in Mathematical Physics
23. Universal Taylor series, conformal mappings and boundary behaviour
    2013/01/10 by Gardiner, Stephen J. · 1 citation
    #30B30 #30E10 #30K05 #31A05 #Complex Variables (math.CV) #FOS: Mathematics
24. Universal Padé Approximation
    2011/02/23 by Nicholas J. Daras, Vassili Nestoridis, Daras, Nicholas J. +1 · 1 citation
    Mathematics · #30E10 #30K05 #30K99 #41A10 #41A20 #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials #Meromorphic and Entire Functions #primary 41A21 #secondary 30B10